Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls

Norihisa Ikoma; Hitoshi Ishii

doi:10.1016/j.anihpc.2012.04.004

Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls

Norihisa Ikoma^*, Hitoshi Ishii

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We study the eigenvalue problem for positively homogeneous, of degree one, elliptic ODE on finite intervals and PDE on balls. We establish the existence and completeness results for principal and higher eigenpairs, i.e., pairs of an eigenvalue and its corresponding eigenfunction.

Original language	English
Pages (from-to)	783-812
Number of pages	30
Journal	Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume	29
Issue number	5
DOIs	https://doi.org/10.1016/j.anihpc.2012.04.004
Publication status	Published - 2012 Sept

ASJC Scopus subject areas

Analysis
Mathematical Physics

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10.1016/j.anihpc.2012.04.004

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title = "Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls",

abstract = "We study the eigenvalue problem for positively homogeneous, of degree one, elliptic ODE on finite intervals and PDE on balls. We establish the existence and completeness results for principal and higher eigenpairs, i.e., pairs of an eigenvalue and its corresponding eigenfunction.",

author = "Norihisa Ikoma and Hitoshi Ishii",

year = "2012",

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AU - Ishii, Hitoshi

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EP - 812

JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis

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Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls

Abstract

ASJC Scopus subject areas

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